Find the LCM of 445, 924, 987, 327, 748 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 445, 924, 987, 327, 748. So, keep reading to learn more.
Given numbers are 445,924,987,327,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,924,987,327,748 is 35810077380.
Find LCM of 445,924,987,327,748 with Prime Factorization
2 | 445, 924, 987, 327, 748 |
2 | 445, 462, 987, 327, 374 |
3 | 445, 231, 987, 327, 187 |
7 | 445, 77, 329, 109, 187 |
11 | 445, 11, 47, 109, 187 |
445, 1, 47, 109, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 445 x 1 x 47 x 109 x 17 = 35810077380
Therefore, the lowest common multiple of 445,924,987,327,748 is 35810077380.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
445 x 924 x 987 x 327 x 748 = 99265534497360
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
445 : 1, 5, 89, 445
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
987 : 1, 3, 7, 21, 47, 141, 329, 987
327 : 1, 3, 109, 327
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,924,987,327,748, is 1.
Now, the common factors can be found like this.
445:5x 89
924:2x 2x 3x 7x 11
987:3x 7x 47
327:3x 109
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 7x 11 = 2772
Therefore, the value for common factors is 2772.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 99265534497360/(1x2772)
LCM = 99265534497360/2772
LCM = 35810077380
Thus, we can understand that the LCM of 445,924,987,327,748 is 35810077380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 445, 924, 987, 327, 748?
Answer: LCM of 445, 924, 987, 327, 748 is 35810077380.
2. How to calculate the LCM of 445, 924, 987, 327, 748?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 445, 924, 987, 327, 748.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.